What is the answer to sqrt(-4x+1)+sqrt(2x+4)=3 ?

The answer to sqrt(-4x+1)+sqrt(2x+4)=3 is x=0,x=-2

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sqrt(-4x+1)+sqrt(2x+4)=3

- 4 x + 1 + 2 x + 4 = 3

x = 0, x = - 2

Solution steps

- 4 x + 1 + 2 x + 4 = 3

Remove square roots

36 x^{2} + 144 x + 144 = 72 x + 144

Solve

36 x^{2} + 144 x + 144 = 72 x + 144 : x = 0, x = - 2

x = 0, x = - 2

Verify Solutions:

x = 0

True

, x = - 2

True

The solutions are

x = 0, x = - 2

(5 x - 4)^{\frac{3}{2}} - 5 = 59

x^{\frac{3}{2}} - 8 = 0

3 x = x

- 2 x + 3 = 6 - 3 x

What is the answer to sqrt(-4x+1)+sqrt(2x+4)=3 ?
The answer to sqrt(-4x+1)+sqrt(2x+4)=3 is x=0,x=-2
Solve for x: sqrt(-4x+1)+sqrt(2x+4)=3
The solution is x=0,x=-2